Burstein L. PDE Toolbox Primer for Engineering Applications with MatLAB Basics

CRC Press, 2022. — 383 p.Partial differential equations (PDEs) describe technological phenomena and processes used for the analysis, design, and modeling of technical products. Solutions to spatial and transient PDEs are realized by using the PDE Toolbox included in the MatLAB software. MatLAB is introduced here as an essential foundation for PDE, and the Modeler of the PDE Toolbox, with appropriate explanatory solutions, is applied to engineering problems in mechanics, heat/mass transfer, tribology, materials science, physics, and biotechnology. The appendixes contain collections of commands and functions used to solve actual engineering problems.FeaturesIncludes the PDE Modeler interface with example solutions of two- and three-dimensional PDEs.
Presents methodologies for all types of PDEs as representative of any engineering problem.
Describes the ordinate differential equation (ODE) solver for initial value and boundary value problems (IVP and BVP) through practical examples from mechanics and the thermodynamic properties of materials.
Covers the basics of MatLAB to solve both ODEs and PDEs.